{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:OKLHP2WEWAFYCFK6YTY2WU7CYU","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"ef3f38fd464198d1b8a8a3869131b00a9e34a73cbb3ca55e21a99e91b0db0778","cross_cats_sorted":["cs.FL"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2026-06-25T15:34:10Z","title_canon_sha256":"a484943bd180229eb03146b266cd2b2004443c2d5b732f48b8609003cbed0a57"},"schema_version":"1.0","source":{"id":"2606.27166","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.27166","created_at":"2026-06-26T01:16:12Z"},{"alias_kind":"arxiv_version","alias_value":"2606.27166v1","created_at":"2026-06-26T01:16:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.27166","created_at":"2026-06-26T01:16:12Z"},{"alias_kind":"pith_short_12","alias_value":"OKLHP2WEWAFY","created_at":"2026-06-26T01:16:12Z"},{"alias_kind":"pith_short_16","alias_value":"OKLHP2WEWAFYCFK6","created_at":"2026-06-26T01:16:12Z"},{"alias_kind":"pith_short_8","alias_value":"OKLHP2WE","created_at":"2026-06-26T01:16:12Z"}],"graph_snapshots":[{"event_id":"sha256:f82c33fd4f7e53cb50bdd412368adfac8ae2e76961f9ffa7d99733c3aab1f184","target":"graph","created_at":"2026-06-26T01:16:12Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.27166/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The reachability problem for Vector Addition Systems (VAS) is a central decision problem in the theory of infinite-state systems, first solved by Kosaraju and Mayr in the 1980s. An alternative, conceptually simpler approach introduced by Leroux shows that non-reachability is always witnessed by semilinear inductive invariants, yielding a decision procedure by combining an enumeration of runs with a search for such invariants. However, the construction of these invariants relies on a back-and-forth scheme that depends symmetrically on the source and the target. As a result, the invariants are n","authors_text":"Clotilde Bizi\\`ere, Gr\\'egoire Sutre, J\\'er\\^ome Leroux","cross_cats":["cs.FL"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2026-06-25T15:34:10Z","title":"A Forward-Only Construction of Semilinear Inductive Invariants for VAS"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.27166","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ebf90bd772991d16b8511adbab20971d72a344129b73052a9cf0773bd305cc60","target":"record","created_at":"2026-06-26T01:16:12Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"ef3f38fd464198d1b8a8a3869131b00a9e34a73cbb3ca55e21a99e91b0db0778","cross_cats_sorted":["cs.FL"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2026-06-25T15:34:10Z","title_canon_sha256":"a484943bd180229eb03146b266cd2b2004443c2d5b732f48b8609003cbed0a57"},"schema_version":"1.0","source":{"id":"2606.27166","kind":"arxiv","version":1}},"canonical_sha256":"729677eac4b00b81155ec4f1ab53e2c5189461045ba08349c18f530e7bda79e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"729677eac4b00b81155ec4f1ab53e2c5189461045ba08349c18f530e7bda79e3","first_computed_at":"2026-06-26T01:16:12.409291Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-26T01:16:12.409291Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ic1N76kDtVFCyMa8eqPhQ98NCcFmZ5t4pffQL/68pbCToAhDSQ9cGWwiZjrxGsGKymLWuDgIDn54jyFLvMFcAw==","signature_status":"signed_v1","signed_at":"2026-06-26T01:16:12.409695Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.27166","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ebf90bd772991d16b8511adbab20971d72a344129b73052a9cf0773bd305cc60","sha256:f82c33fd4f7e53cb50bdd412368adfac8ae2e76961f9ffa7d99733c3aab1f184"],"state_sha256":"b7fd18980c286a81bae44a1a1e024a31482613fe40f1e22f3ff7b6884151e3c7"}